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An Overview of Modern Applications of Negative Binomial Modelling in Ecology and Biodiversity
Diversity, 2022 Negative binomial modelling is one of the most commonly used statistical tools for analysing count data in ecology and biodiversity research. This is not surprising given the prevalence of overdispersion (i.e., evidence that the variance is greater than ...
Jakub Stoklosa +2 more
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Frontiers in Psychology, 2017 Statistical analysis is crucial for research and the choice of analytical technique should take into account the specific distribution of data. Although the data obtained from health, educational, and social sciences research are often not normally ...
Roser Bono +5 more
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Entropy, 2022 We developed a quantum scheme of two atoms (TAs) and field initially in a negative binomial state (NBS). We displayed and discussed the physical implications of the obtained results in terms of the physical parameters of the model.
Kamal Berrada +3 more
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Stein factors for negative binomial approximation in Wasserstein distance [PDF]
, 2015 The paper gives the bounds on the solutions to a Stein equation for the negative binomial distribution that are needed for approximation in terms of the Wasserstein metric.
Barbour, A. D., Gan, H. L., Xia, A.
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Distinguishing Between Binomial, Hypergeometric and Negative Binomial Distributions [PDF]
Journal of Statistics Education, 2013 Recognizing the differences between three discrete distributions (Binomial, Hypergeometric and Negative Binomial) can be challenging for students. We present an activity designed to help students differentiate among these distributions. In addition, we present assessment results in the form of pre- and post-tests that were designed to assess the ...
Jacqueline Wroughton, Tarah Cole
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Analysis of generalized negative binomial distributions attached to hyperbolic Landau levels
, 2016 To each hyperbolic Landau level of the Poincar\'e disc is attached a generalized negative binomial distribution. In this paper, we compute the moment generating function of this distribution and supply its decomposition as a perturbation of the negative ...
Gnedenko B. V. +7 more
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A Poisson Mixed Model with Nonnormal Random Effect Distribution
, 2011 We propose in this paper a random intercept Poisson model in which the random effect distribution is assumed to follow a generalized log-gamma (GLG) distribution.
de Castro, Mario +2 more
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Group sequential designs for negative binomial outcomes
, 2018 Count data and recurrent events in clinical trials, such as the number of lesions in magnetic resonance imaging in multiple sclerosis, the number of relapses in multiple sclerosis, the number of hospitalizations in heart failure, and the number of ...
Friede, Tim +3 more
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Goodness-of-Fit Test for the Bivariate Negative Binomial Distribution
AxiomsWhen modeling real-world data, we face the challenge of determining which probability distribution best represents the data. To address this intricate problem, we rely on goodness-of-fit tests.
Francisco Novoa-Muñoz +1 more
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New bounds on Poisson approximation to the distribution of a sum of negative binomial random variables [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2018 The Stein-Chen method is usedto give new bounds, non-uniform bounds, for the distances between the distribution of a sum of independent negative binomial random variables and a Poisson distribution with mean, where ri and pi = 1-qi are parameters of ...
Kanint Teerapabolarn
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